Answer
10.5 units
Step-by-step explanation
1. We have been given the measure of one angle and a length.
2. Apply tan.
tan(60) = 6/x
6/tan(60) = 3.5
The missing side length rounded to the nearest tenth is 3.5
3. Solve for the area
The area of a triangle can be found using the formula base * height/2
6 * 3.5/2 = 10.5
The area of the triangle is 10.5 units